Single facility goal location problems with Lp norm

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SOLEIMANI ARIA; FATHALI JAFAR; nazari morteza

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Paper Information

Journal: MODERN RESEARCHES IN DECISION MAKING Year:2019 | Volume:3 | Issue:4 Page(s): 125-150

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Information Journal Paper

Title

Single facility goal location problems with Lp norm

Author(s)

SOLEIMANI ARIA | FATHALI JAFAR | nazari morteza | Issue Writer Certificate

Keywords

goal locationQ1

Weiszfeld like algorithmQ1

Gauss-NewtonQ1

imperialist competitiveQ1

Abstract

Location theory is an interstice field of optimization and operations research. In the classic location problem, the goal is finding the location of one or more facilities such that some criteria such as transportation cost, the sum of distances passed by clients, total service time and cost of servicing are minimized. In this paper, we consider the goal location problem. In the goal location problem, the ideal is locating the facility in the distances ri, from the i-th client. However, in the most instances, the solution of this problem doesn’ t exist. Therefore, we consider the minimizing of distances between clients and ideal point. The minimizing sum of square errors and minimizing absolute errors under Lp norm are considered as the objective function. We use the Weiszfeld like, Gauss-Newton and imperialist competitive algorithms for solving the problem. Then we compare the results which obtained by these methods for some test problems.

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APA: Copy

SOLEIMANI, ARIA, FATHALI, JAFAR, & nazari, morteza. (2019). Single facility goal location problems with Lp norm. MODERN RESEARCHES IN DECISION MAKING, 3(4 ), 125-150. SID. https://sid.ir/paper/406902/en

Vancouver: Copy

SOLEIMANI ARIA, FATHALI JAFAR, nazari morteza. Single facility goal location problems with Lp norm. MODERN RESEARCHES IN DECISION MAKING[Internet]. 2019;3(4 ):125-150. Available from: https://sid.ir/paper/406902/en

IEEE: Copy

ARIA SOLEIMANI, JAFAR FATHALI, and morteza nazari, “Single facility goal location problems with Lp norm,” MODERN RESEARCHES IN DECISION MAKING, vol. 3, no. 4 , pp. 125–150, 2019, [Online]. Available: https://sid.ir/paper/406902/en

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